If the state pin alternates between on/off when unpaired and sits at a steady voltage when paired, then a voltage comparator circuit will be needed to provide an output in the paired condition.
To electronics people, a comparator circuit is nothing special, however, it is going to mean a few more components and the ability to wire it up correctly for you, plus the need to fine tune it (one thing you will find in electronics - theory and actual operating hardware can be two different things).
But we need to first find out if how the status pin operates can be changed on the bluetooth module to see if the above is actually needed.
This would require (hopefully simple) programming skills.
With a bit of luck, somebody who has used these modules might drop by this thread to let you know if it is possible.